Finding the Third Proportional to 461,709 and 693,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   461,709 : 693,901.50 = 693,901.50 : x
2. Step 2: Convert to fraction form
   461,709/693,901.50 = 693,901.50/x
3. Step 3: Cross multiply
   461,709x = 693,901.50 × 693,901.50
4. Step 4: Simplify right side
   461,709x = 481,499,291,702.25
5. Step 5: Solve for x
   x = 481,499,291,702.25/461,709
6. Step 6: Final answer
   x = 1,042,863.13